Recent results from the TOTEM collaboration at the LHC

We describe the most recent results from the TOTEM collaboration at the LHC, namely the elastic cross section measurements at a center-of-mass on 2.76, 7, 8 and 13 TeV. No structure or resonance is observed at high $t$ at high center-of-mass energies. A pure exponential form of $d sigma/dt$ is excluded both at 8 and 13 TeV. Accessing the very low $t$ region allows measuring the $rho$ parameter at 13 TeV.